2006/02/05 by Vladimir Dzhunushaliev, Dzhunushaliev, Vladimir
Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Algebraic and Geometric Analysis #FOS: Mathematics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Noncommutative and Quantum Gravity Theories #Quantum Physics (quant-ph) #Rings and Algebras (math.RA)
paper · pdf · doi:10.48550/arxiv.hep-th/0602047
openalex publication_date 2006/02/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
A new non-associative algebra for the quantization of strongly interacting fields is proposed. The full set of quantum (±)associators for the product of three operators is offered. An algorithm for the calculation of some (±)associators for the product of some four operators is offered. The possible generalization of Hamilton's equations for a non-associative quantum theory is proposed. Some arguments are given that a non-associative quantum theory can be a fundamental unifying theory.